Factor completely. 5x^(2)+3x-2 Answer:

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Factor completely.  5x^(2)+3x-2 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 5x^2 + 3x - 2. Here, the coefficient of x^2 (a) is 5, the coefficient of x (b) is 3, and the constant term (c) is -2.Find Multiplying Numbers: Find two numbers that multiply to ac (5 * -2 = -10) and add up to b (3). We need to find two numbers that multiply together to give -10 and add up to 3. The numbers that satisfy these conditions are 5 and -2 because 5 * -2 = -10 and 5 + (-2) = 3.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 2. We can express the middle term 3x as the sum of 5x and -2x. So, the expression becomes 5x^2 + 5x - 2x - 2.Factor by Grouping: Factor by grouping. We group the terms as follows: (5x^2 + 5x) + (-2x - 2). Now we factor out the common factors from each group. From the first group, we can factor out 5x, and from the second group, we can factor out -2. This gives us: 5x(x + 1) - 2(x + 1).Factor Common Binomial: Factor out the common binomial factor. We notice that (x + 1) is a common factor in both terms. We can factor this out to get the final factored form: (5x - 2)(x + 1).

Factor completely. $\newline$ $5 x^{2}+3 x-2$ $\newline$ Answer:

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Factor completely.\newline5x2+3x−2 5 x^{2}+3 x-2 5x2+3x−2\newlineAnswer:

Factor completely. $\newline$ $5 x^{2}+3 x-2$ $\newline$ Answer: